3 papers
math.DG2026
A note on Ricci flow from small curvature concentration and a Morrey-type condition
Albert Chau, Adam Martens
In \cite{ChauMartens} the authors proved the long-time existence of Ricci flow starting from complete bounded curvature Riemannian manifolds with scale-invariant integral curvature…
math.DG2025
Removing scalar curvature assumption for Ricci flow smoothing
Adam Martens
In recent work of Chan-Huang-Lee, it is shown that if a manifold enjoys uniform bounds on (a) the negative part of the scalar curvature, (b) the local entropy, and (c) volume ratio…
math.DG2024
Sharpening a gap theorem: nonnegative Ricci and small curvature concentration
Adam Martens
We sharpen a gap theorem of Chan & Lee for nonnegative Ricci curvature manifolds that have positive asymptotic volume ratio and small enough scale-invariant integral curvature (so-…